Problems of Information Transmission

, Volume 53, Issue 3, pp 251–259 | Cite as

Propelinear codes related to some classes of optimal codes

Coding Theory
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Abstract

A code is said to be propelinear if its automorphism group contains a subgroup that acts regularly on codewords. We show propelinearity of complements of cyclic codes C 1,i , (i, 2 m − 1) = 1, of length n = 2 m − 1, including the primitive two-error-correcting BCH code, to the Hamming code; the Preparata code to the Hamming code; the Goethals code to the Preparata code; and the Z4-linear Preparata code to the Z4-linear perfect code.

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© Pleiades Publishing, Inc. 2017

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsBranch of the Russian Academy of SciencesNovosibirskRussia

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